Pith Number

pith:HWHA5BNK

pith:2016:HWHA5BNKAGZCBAEU45PKSTKOHI

not attested not anchored not stored refs pending

Harnack's Inequality and A Priori Estimates for Fractional Powers of Non-symmetric Differential Operators

Cristian Rios, Gast\'on Beltritti, Hugo Aimar, Ivana G\'omez

arxiv:1610.03206 v1 · 2016-10-11 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWHA5BNKAGZCBAEU45PKSTKOHI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:02:46.253655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d8e0e85aa01b2208094e75ea94d4e3a173f34b0271a2c084e06b3f8cc337b13

Aliases

arxiv: 1610.03206 · arxiv_version: 1610.03206v1 · doi: 10.48550/arxiv.1610.03206 · pith_short_12: HWHA5BNKAGZC · pith_short_16: HWHA5BNKAGZCBAEU · pith_short_8: HWHA5BNK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HWHA5BNKAGZCBAEU45PKSTKOHI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3d8e0e85aa01b2208094e75ea94d4e3a173f34b0271a2c084e06b3f8cc337b13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1215a428fa62e5be8f01f65eb3e66dbc588d738c6726d3114d70f8175d8d3009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-11T06:16:47Z",
    "title_canon_sha256": "4a3f537dafeb8bd558ad8c414d62b6a6d523abea1c02ec3c634cfca1ca79268e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03206",
    "kind": "arxiv",
    "version": 1
  }
}